Chemical Engineering Gate 2016 Questions with Answer

Ques 27 GATE 2016


Water flows through a smooth circular pipe under turbulent conditions. In the viscous sub-layer the velocity varies linearly with the distance from the wall. The Fanning friction factor is defined as f = τw / (ρ Uavg2 / 2) where τw is the shear stress at the wall of the pipe, ρ is the density of the fluid and Uavg is the average velocity in the pipe. Water (ρ = 1000 kg m-3, μ = 1×10-3 kg m-1 s-1) flows at an average velocity of 1 m s-1 through the pipe. For this flow condition, the friction factor f is 0.005. At a distance of 0.05 mm from the wall of the pipe (in the viscous sub-layer), the velocity (in m s-1, rounded off to the third decimal place), is ______?


(0.12) is the correct answer.

Ques 28 GATE 2016


The volume of a sphere of diameter 1 unit is ________ than the volume of a cube of side 1 unit.

A

(A) least

B

(B) less

C

(C) lesser

D

(D) low


(b) is the correct answer.

Ques 29 GATE 2016


The unruly crowd demanded that the accused be _____________ without trial.

A

(A) hanged

B

(B) hanging

C

(C) hankering

D

(D) hung


(a) is the correct answer.

Ques 30 GATE 2016


Choose the statement(s) where the underlined word is used correctly:
(i) A prone is a dried plum.
(ii) He was lying prone on the floor.
(iii) People who eat a lot of fat are prone to heart disease.

A

(A) (i) and (iii) only

B

(B) (iii) only

C

(C) (i) and (ii) only

D

(D) (ii) and (iii) only


(d) is the correct answer.

Ques 31 GATE 2016


Fact: If it rains, then the field is wet. Read the following statements:
(i) It rains
(ii) The field is not wet
(iii) The field is wet
(iv) It did not rain
Which one of the options given below is NOT logically possible, based on the given fact?

A

(A) If (iii), then (iv).

B

(B) If (i), then (iii).

C

(C) If (i), then (ii).

D

(D) If (ii), then (iv).


(c) is the correct answer.

Ques 32 GATE 2016


A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is 6 m, the area of the window in m2 is ___________.

A

(A) 1.43

B

(B) 2.06

C

(C) 2.68

D

(D) 2.88


(b) is the correct answer.

Ques 33 GATE 2016


Students taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the students in a test was evaluated out of 200 marks. It was observed that the mean of group P was 105, while that of group Q was 85. The standard deviation of group P was 25, while that of group Q was 5. Assuming that the marks were distributed on a normal distribution, which of the following statements will have the highest probability of being TRUE?

A

(A) No student in group Q scored less marks than any student in group P.

B

(B) No student in group P scored less marks than any student in group Q.

C

(C) Most students of group Q scored marks in a narrower range than students in group P.

D

(D) The median of the marks of group P is 100.


(c) is the correct answer.

Ques 34 GATE 2016


A smart city integrates all modes of transport, uses clean energy and promotes sustainable use of resources. It also uses technology to ensure safety and security of the city, something which critics argue, will lead to a surveillance state. Which of the following can be logically inferred from the above paragraph?
(i) All smart cities encourage the formation of surveillance states.
(ii) Surveillance is an integral part of a smart city.
(iii) Sustainability and surveillance go hand in hand in a smart city.
(iv) There is a perception that smart cities promote surveillance.

A

(A) (i) and (iv) only

B

(B) (ii) and (iii) only

C

(C) (iv) only

D

(D) (i) only


(c) is the correct answer.

Ques 35 GATE 2016


Find the missing sequence in the letter series. B, FH, LNP, _ _ _ _.

A

(A) SUWY

B

(B) TUVW

C

(C) TVXZ

D

(D) TWXZ


(c) is the correct answer.

Ques 36 GATE 2016


The binary operation □ is defined as a □ b = ab+(a+b), where a and b are any two real numbers. The value of the identity element of this operation, defined as the number x such that a □ x = a, for any a, is ___________.

A

(A) 0

B

(B) 1

C

(C) 2

D

(D) 10


(a) is the correct answer.

Ques 37 GATE 2016


Which of the following curves represents the function y= ln(|ex sin(|x|)|) for |x| < 2π? Here, x represents the abscissa and y represents the ordinate.

A

B

C

D


(c) is the correct answer.

Ques 38 GATE 2016


Students applying for hostel rooms are allotted rooms in order of seniority. Students already staying in a room will move if they get a room in their preferred list. Preferences of lower ranked applicants are ignored during allocation. Given the data below, which room will Ajit stay in? Names Student seniority Current room Room preference list Amar 1 P R, S, Q Akbar 2 None R, S Anthony 3 Q P Ajit 4 S Q, P, R

A

(A) P

B

(B) Q

C

(C) R

D

(D) S


(b) is the correct answer.

Ques 39 GATE 2016


A composite wall is made of four different materials of construction in the fashion shown below. The resistance (in K/W) of each of the sections of the wall is indicated in the diagram.

The overall resistance (in K/W, rounded off to the first decimal place) of the composite wall, in the direction of heat flow, is _______


(3.9) is the correct answer.

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